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Simplifying 7a + -9 = 4a + -4 + 4a Reorder the terms: -9 + 7a = 4a + -4 + 4a Reorder the terms: -9 + 7a = -4 + 4a + 4a Combine like terms: 4a + 4a = 8a -9 + 7a = -4 + 8a Solving -9 + 7a = -4 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -9 + 7a + -8a = -4 + 8a + -8a Combine like terms: 7a + -8a = -1a -9 + -1a = -4 + 8a + -8a Combine like terms: 8a + -8a = 0 -9 + -1a = -4 + 0 -9 + -1a = -4 Add '9' to each side of the equation. -9 + 9 + -1a = -4 + 9 Combine like terms: -9 + 9 = 0 0 + -1a = -4 + 9 -1a = -4 + 9 Combine like terms: -4 + 9 = 5 -1a = 5 Divide each side by '-1'. a = -5 Simplifying a = -5
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